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vdsinqf (3)
  • >> vdsinqf (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         vdsinqf - compute the Fourier coefficients in a sine  series
         representation with only odd wave numbers.  The xSINQ opera-
         tions are unnormalized inverses of themselves, so a call  to
         xSINQF  followed by a call to xSINQB will multiply the input
         sequence by 4 * N.  The VxSINQ operations are normalized, so
         a  call of VxSINQF followed by a call of VxSINQB will return
         the original sequence.
    
    SYNOPSIS
         SUBROUTINE SINQF (N, RX, RWSAVE)
    
         SUBROUTINE DSINQF (N, DX, DWSAVE)
    
         SUBROUTINE VSINQF (M, N, RX, RXT, MDIMX, RWSAVE)
    
         SUBROUTINE VDSINQF (M, N, DX, DXT, MDIMX, DWSAVE)
    
    
    
         #include <sunperf.h>
    
         void sinqf (int n, float *sx, float *wsave) ;
    
         void dsinqf (int n, double *dx, double *wsave) ;
    
         void vsinqf(int m,  int  n,  float  *sx,  int  mdimx,  float
                   *wsave) ;
    
         void vdsinqf(int m, int n, double  *dx,  int  mdimx,  double
                   *wsave) ;
    
    ARGUMENTS
         M         (For vector operations only.)
                   The number of sequences to be transformed.   M  >=
                   0.
    
         N         Length of the sequence to be  transformed.   These
                   subroutines are most efficient when N is a product
                   of small primes.  N >= 0.
    
         xX        On entry, an array  of  length  N  containing  the
                   sequence  to  be transformed.  For VxSINQF, a real
                   two-dimensional array with dimensions of (MDIMX  x
                   N)   whose   rows  contain  the  sequences  to  be
                   transformed.   On  exit,  the  quarter-wave   sine
                   transform of the input.
    
         xXT       (For vector operations only.)
                   A real two-dimensional work array with  dimensions
                   of (MDIMX x N).
    
         MDIMX     (For vector operations only.)
                   Leading dimension of the  arrays  xX  and  xXT  as
                   specified  in a dimension or type statement. MDIMX
                   >= M.
    
         xWSAVE    On entry, an array with dimension of at least   (3
                   *  N  + 15) for scalar subroutines or (2 * N + 15)
                   for vector subroutines, initialized by  xSINQI  or
                   VxSINQI.
    
    SAMPLE PROGRAM
               PROGRAM TEST
               IMPLICIT NONE
         C
               INTEGER           M, N
               PARAMETER        (M = 4)
               PARAMETER        (N = 6)
         C
               INTEGER           I, J
               REAL              PI, WSAVE(N + 15), X(M, N+1), XT(M, N + 1)
         C
               EXTERNAL          VSINQB, VSINQF, VSINQI
               INTRINSIC         ACOS, SIN
         C
         C     Initialize the array to m real odd quarter-wave sequence,
         C     that is, they can be expanded in terms of a cosine series
         C     with only odd wave numbers.
         C
               PI = ACOS (-1.0)
               DO 110, J=1, M
                 DO 100, I=1, N
                   X(J,I) = 40.0 * J * SIN (I * PI / (2.0 * N))
           100   CONTINUE
           110 CONTINUE
         C
               CALL VSINQI (N, WSAVE)
               PRINT 1000
               DO 120, J=1, M
                 PRINT 1010, J, (X(J, I), I = 1, N)
           120 CONTINUE
               CALL VSINQF (M, N, X, XT, M, WSAVE)
               PRINT 1000
               DO 130, J=1, M
                 PRINT 1010, J, (X(J, I), I = 1, N)
           130 CONTINUE
               CALL VSINQB (M, N, X, XT, M, WSAVE)
               PRINT 1000
               DO 140, J=1, M
                 PRINT 1010, J, (X(J, I), I = 1, N)
           140 CONTINUE
         C
          1000 FORMAT (1X, 'Original Sequence: ')
          1010 FORMAT (1X, 'Sequence', I2, ':  ', 100(F5.1, 1X))
          1020 FORMAT (1X, 'Transformed Sequence: ')
          1030 FORMAT (1X, 'Recovered Sequence: ')
         C
               END
    
    SAMPLE OUTPUT
          Original Sequence:
          Sequence 1:   10.4  20.0  28.3  34.6  38.6  40.0
          Sequence 2:   20.7  40.0  56.6  69.3  77.3  80.0
          Sequence 3:   31.1  60.0  84.9 103.9 115.9 120.0
          Sequence 4:   41.4  80.0 113.1 138.6 154.5 160.0
          Original Sequence:
          Sequence 1:   49.0   0.0   0.0   0.0   0.0   0.0
          Sequence 2:   98.0   0.0   0.0   0.0   0.0   0.0
          Sequence 3:  147.0   0.0   0.0   0.0   0.0   0.0
          Sequence 4:  196.0   0.0   0.0   0.0   0.0   0.0
          Original Sequence:
          Sequence 1:   10.4  20.0  28.3  34.6  38.6  40.0
          Sequence 2:   20.7  40.0  56.6  69.3  77.3  80.0
          Sequence 3:   31.1  60.0  84.9 103.9 115.9 120.0
          Sequence 4:   41.4  80.0 113.1 138.6 154.5 160.0
    
    
    
    


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